256316480 has 224 divisors, whose sum is σ = 758439936. Its totient is φ = 80510976.

The previous prime is 256316383. The next prime is 256316509. The reversal of 256316480 is 84613652.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 256316480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018177 + ... + 2018303.

Almost surely, 2^256316480 is an apocalyptic number.

256316480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379219968).

256316480 is an abundant number, since it is smaller than the sum of its proper divisors (502123456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256316480 is a wasteful number, since it uses less digits than its factorization.

256316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 256316480 is about 16009.8869452598. The cubic root of 256316480 is about 635.2219696437.

The spelling of 256316480 in words is "two hundred fifty-six million, three hundred sixteen thousand, four hundred eighty".